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Popular >

inverse of f(x)=(e^x-3)/2

Solution

inverse

f (x) = \frac{e ^{x} - 3}{2}

Solution

ln (x \cdot 2 + 3)

Solution steps

y = \frac{e ^{x} - 3}{2}

Replace

x

with

y

x = \frac{e ^{y} - 3}{2}

Solve for

y, x = \frac{e ^{y} - 3}{2}

ln (x \cdot 2 + 3)

Popular Examples

domain of (sqrt(1+4x^6))/(2-x^3)domain

\frac{1 + 4 x ^{6}}{2 - x ^{3}}

inverse of f(x)= 2/3 (x-1)^2-3 inverse

f (x) = \frac{2}{3} (x - 1)^{2} - 3

domain of f(x)=-2sqrt(x-3)-1 domain

f (x) = - 2 x - 3 - 1

domain of f(x)=140(1.6)^x domain

f (x) = 140 (1.6)^{x}

inflection f(x)=(x+5)^{2/7}inflection points

f (x) = (x + 5)^{\frac{2}{7}}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=(e^x-3)/2 ?
The inverse of f(x)=(e^x-3)/2 is ln(x*2+3)